The anomalous magnetic moments of electron and muon, \(a_e\)  and \(a_\mu \)  are the most precisely determined quantities in particle physics. Theoretically, \(a_e\)  and \(a_\mu \)  are calculated within the standard model (SM) which contain several contributions: quantum electrodynamics (QED), electroweak (EW), hadronic vacuum polarization (HVP) and hadronic light-by-light (HLbL) [1]}. The QED and EW parts are known very well perturbatively. For example, the QED contribution to the anomalous magnetic moment of electron and muon is known up to five-loop order [2]}, [3]}, [4]}. The others, being hadronic terms, are less well known and are estimated using various techniques, including data from the experiments [5]} and lattice calculations [6]}, [7]}, [8]}, [9]}. The updated theoretical predictions of \(a_e\)  and \(a_\mu \) 
from standard model so far are \(a_e^{\text{SM}}=1159652182.032(720)\times 10^{-12}\)  [3]} and \(a_\mu ^{\text{SM}}=116591810(43)\times 10^{-11}\)  [1]}, respectively.
